Putting it all together, the eqns.(REF )-(REF ), and eq.(REF ) for the metric, constitute a system of equations that are formally equivalent to the semi-classical Einstein equations (SCEE) (see e.g., [1]}) put in the canonical form. However, that is where the similarities end. On several key issues of interpretation, in particular, the ED approach is vastly different from the SCEE as they are normally understood. Far from being trivial, these distinctions turn out to be quite important since many objections (see e.g., [2]}[3]}) to the usual SCEE are, in fact, based on such considerations.
